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*Beginning Algebra*4/e by Miller/O'Neill

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The Miller/O'Neill/Hyde author team continues to offer an enlightened approach grounded in the fundamentals of classroom experience in Beginning Algebra 4e. The text reflects the compassion and insight of its experienced author team with features developed to address the specific needs of developmental level students. Throughout the text, the authors communicate to students the very points their instructors are likely to make during lecture, and this helps to reinforce the concepts and provide instruction that leads students to mastery and success. Also included are Problem Recognition Exercises, designed to help students recognize which solution strategies are most appropriate for a given exercise. These types of exercises, along with the number of practice problems and group activities available, permit instructors to choose from a wealth of problems, allowing ample opportunity for students to practice what they learn in lecture to hone their skills. In this way, the book perfectly complements any learning platform, whether traditional lecture or distance-learning; its instruction is so reflective of what comes from lecture, that students will feel as comfortable outside of class as they do inside class with their instructor.

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The following ISBNs are associated with this title:

ISBN - 10:0077548949

ISBN - 13:9780077548940

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Table of Contents

# Beginning Algebra, Miller, O'Neill, Hyde, 4 edition

### Chapter 1: The Set of Real Numbers

#### 1.1Fractions

#### 1.2Introduction to Algebra and the Set of Real Numbers

#### 1.3Exponents, Square Roots, and the Order of Operations

#### 1.4Addition of Real Numbers

#### 1.5Subtraction of Real Numbers

Problem Recognition Exercises-Addition and Subtraction of Real Numbers

#### 1.6Multiplication and Division of Real Numbers

Problem Recognition Exercises-Adding, Subtracting, Multiplying, and Dividing Real Numbers

#### 1.7Properties of Real Numbers and Simplifying Expressions

### Chapter 2:Linear Equations and Inequalities

#### 2.1Addition, Subtraction, Multiplication, and Division Properties of Equality

#### 2.2Solving Linear Equations

#### 2.3Linear Equations: Clearing Fractions and Decimals

Problem Recognition Exercises-Equations vs.Expressions

#### 2.4Applications of Linear Equations: Introduction to Problem Solving

#### 2.5Applications Involving Percents

#### 2.6Formulas and Applications of Geometry

#### 2.7Mixture Applications and Uniform Motion

#### 2.8Linear Inequalities

### Chapter 3:Graphing Linear Equations in Two Variables

#### 3.1Rectangular Coordinate System

#### 3.2Linear Equations in Two Variables

#### 3.3Slope of a Line and Rate of Change

#### 3.4Slope-Intercept Form of a Linear Equation

Problem Recognition Exercises-Linear Equations in Two Variables

#### 3.5Point-Slope Formula

#### 3.6Applications of Linear Equations and Modeling

### Chapter 4:Systems of Linear Equations in Two Variables

#### 4.1Solving Systems of Equations by the Graphing Method

#### 4.2Solving Systems of Equations by the Substitution Method

#### 4.3Solving Systems of Equations by the Addition Method

Problem Recognition Exercises-Systems of Equations

#### 4.4Applications of Linear Equations in Two Variables

#### 4.5Linear Inequalities and Systems of Inequalities in Two Variables

### Chapter 5:Polynomials and Properties of Exponents

#### 5.1Multiplying and Dividing Expressions with Common Bases

#### 5.2More Properties of Exponents

#### 5.3Definitions of and Problem Recognition Exercises-Properties of Exponents

#### 5.4Scientific Notation

#### 5.5Addition and Subtraction of Polynomials

#### 5.6Multiplication of Polynomials and Special Products

#### 5.7Division of Polynomials

Problem Recognition Exercises-Operations on Polynomials

### Chapter 6:Factoring Polynomials

#### 6.1Greatest Common Factor and Factoring by Grouping

#### 6.2Factoring Trinomials of the Form x^2 + bx + c

#### 6.3Factoring Trinomials: Trial-and-Error Method

#### 6.4Factoring Trinomials: AC-Method

#### 6.5Difference of Squares and Perfect Square Trinomials

#### 6.6Sum and Difference of Cubes

Problem Recognition Exercises-Factoring Strategy

#### 6.7Solving Equations Using the Zero Product Rule

Problem Recognition Exercises- Polynomial Expressions versus Polynomial Equations

#### 6.8Applications of Quadratic Equations

### Chapter 7:Rational Expressions and Equations

#### 7.1Introduction to Rational Expressions

#### 7.2Multiplication and Division of Rational Expressions

#### 7.3Least Common Denominator

#### 7.4Addition and Subtraction of Rational Expressions

Problem Recognition Exercises-Operations on Rational Expressions

#### 7.5Complex Fractions

#### 7.6Rational Equations

Problem Recognition Exercises-Comparing Rational Equations and Rational Expressions

#### 7.7Applications of Rational Equations and Proportions

#### 7.8Variation

### Chapter 8:Radicals

#### 8.1Introduction to Roots and Radicals

#### 8.2Simplifying Radicals

#### 8.3Addition and Subtraction of Radicals

#### 8.4Multiplication of Radicals

#### 8.5Division of Radicals and Rationalization

Problem Recognition Exercises-Operations on Radicals

#### 8.6Radical Equations

#### 8.7Rational Exponents

### Chapter 9:Quadratic Equations, Complex Numbers, and Functions

#### 9.1The Square Root Property

#### 9.2Completing the Square

#### 9.3Quadratic Formula

Problem Recognition Exercises-Solving Different Types of Equations